A Modified Analytical Approach With Existence and Uniqueness for Fractional Cauchy Reaction-Diffusion Equations
| dc.contributor.author | Kumar, Amit | |
| dc.contributor.author | Abbas, Syed | |
| dc.contributor.author | Al Qurashi, Maysaa | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Kumar, Sunil | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2021-02-03T12:14:41Z | |
| dc.date.accessioned | 2025-09-18T14:10:08Z | |
| dc.date.available | 2021-02-03T12:14:41Z | |
| dc.date.available | 2025-09-18T14:10:08Z | |
| dc.date.issued | 2020 | |
| dc.description | Kumar, Dr. Sunil/0000-0003-0620-1068; Abbas, Syed/0000-0001-5694-2011 | en_US |
| dc.description.abstract | This article mainly explores and applies a modified form of the analytical method, namely the homotopy analysis transform method (HATM) for solving time-fractional Cauchy reaction-diffusion equations (TFCRDEs). Then mainly we address the error norms L2 and L infinity for a convergence study of the proposed method. We also find existence, uniqueness and convergence in the analysis for TFCRDEs. The projected method is illustrated by solving some numerical examples. The obtained numerical solutions by the HATM method show that it is simple to employ. An excellent conformity obtained between the solution got by the HATM method and the various well-known results available in the current literature. Also the existence and uniqueness of the solution have been demonstrated. | en_US |
| dc.description.publishedMonth | 1 | |
| dc.description.sponsorship | National Board for Higher Mathematics, Department of Atomic Energy, Government of India [2/48(20)/2016/NBHM(R.P.)/R, D II/1014] | en_US |
| dc.description.sponsorship | All authors would like to express their sincere thanks to the respected editors for their time and comments as regards the review process. The first author Dr. Sunil Kumar would like to acknowledge the financial support received from the National Board for Higher Mathematics, Department of Atomic Energy, Government of India (Approval No. 2/48(20)/2016/NBHM(R.P.)/R and D II/1014). | en_US |
| dc.identifier.citation | Kumar, Sunil...et al. (2020). "A modified analytical approach with existence and uniqueness for fractional Cauchy reaction-diffusion equations", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-019-2488-3 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-019-2488-3 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13594 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Homotopy Analysis Transform Method | en_US |
| dc.subject | Fractional Cauchy Reaction-Diffusion Equation | en_US |
| dc.subject | Mittag-Leffler Function | en_US |
| dc.subject | Optimal Value | en_US |
| dc.title | A Modified Analytical Approach With Existence and Uniqueness for Fractional Cauchy Reaction-Diffusion Equations | en_US |
| dc.title | A modified analytical approach with existence and uniqueness for fractional Cauchy reaction-diffusion equations | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Kumar, Dr. Sunil/0000-0003-0620-1068 | |
| gdc.author.id | Abbas, Syed/0000-0001-5694-2011 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.wosid | Kumar, Sunil/P-7519-2015 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Kumar, Ashok/Agj-0027-2022 | |
| gdc.author.wosid | Abbas, Syed/B-2359-2008 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kumar, Sunil] Natl Inst Technol, Dept Math, Jamshedpur, Bihar, India; [Kumar, Amit] Balarampur Coll Purulia, Dept Math, Balarampur, India; [Abbas, Syed] Indian Inst Technol Mandi, Sch Basic Sci, Mandi, Himachal Prades, India; [Al Qurashi, Maysaa] King Saud Uniers, Dept Math, Riyadh, Saudi Arabia; [Baleanu, Dumitru] Cankya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2020 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W3031703110 | |
| gdc.identifier.wos | WOS:000513697600001 | |
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| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 49 | |
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